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145224783982460 = 2257135313710989373
BaseRepresentation
bin100001000001010011000111…
…101010010110111101111100
3201001012100112220002002222002
4201001103013222112331330
5123013330324144414320
61232511202244241432
742406100346260660
oct4101230752267574
9631170486062862
10145224783982460
1142300537612836
12143556523a0278
13630583b6554c0
1427c0cba54a8a0
1511bc96add4675
hex8414c7a96f7c

145224783982460 has 192 divisors, whose sum is σ = 385223801985792. Its totient is φ = 44764899139584.

The previous prime is 145224783982417. The next prime is 145224783982469. The reversal of 145224783982460 is 64289387422541.

145224783982460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145224783982469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7720334 + ... + 18709706.

It is an arithmetic number, because the mean of its divisors is an integer number (2006373968676).

It is a 1-persistent number, because it is pandigital, but 2⋅145224783982460 = 290449567964920 is not.

Almost surely, 2145224783982460 is an apocalyptic number.

145224783982460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145224783982460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192611900992896).

145224783982460 is an abundant number, since it is smaller than the sum of its proper divisors (239999018003332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145224783982460 is a wasteful number, since it uses less digits than its factorization.

145224783982460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989592 (or 10989590 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 65.

The spelling of 145224783982460 in words is "one hundred forty-five trillion, two hundred twenty-four billion, seven hundred eighty-three million, nine hundred eighty-two thousand, four hundred sixty".